Question

How do you solve `(sqrt(3)-sqrt(2))(sqrt(3)-sqrt(2))`?

Answer 1

`5-2sqrt6`

Explanation:

`(sqrt3-sqrt2)(sqrt2-sqrt3)`
=`sqrt3*sqrt3-sqrt3*sqrt2-sqrt2*sqrt3+*sqrt2*sqrt2`
=3-`sqrt6-sqrt6+2`
=5-2`sqrt6`

(a-b)(a-b) =`a^2-ab-ba+b^2`